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CONTENTS OF VOLUME TWO

PREFACE                                                            3
16.  THE COPERNICUS OF GEOMETRY
LOBATCHEWSKY (1793-1856)
The widow's mite, Kazan. Appointed professor and spy.
Universal ability. Lobatchewsky as an administrator.
Reason and incense combat the cholera. Russian gratitude.
Humiliated in his prime. Blind a$ MiUon, Lobatchewsky
dictates his masterpiece. His advance beyond Euclid. JVoĽ-
Euclidean geometry. A Copernicus of the intellect.
17.  GENIUS AND POVERTY
ABEL (1802-29)
Norway in 1802. Smothered ty clerical fecundity. AbeTs
awakening. Generosity of a teacher. A pupil of the masters.
His lucky blunder. Abel and the quintic. The Government
to the rescue. AbeVs grand tour of mathematical Europe
not so grand. French civility and German cordiality.
CreUe and his Journal. Cauchifs unpardonabk sin. 'Abel's
Theorem.9 Something te keep mathematicians busy 500
" years. Crowning a cottf$e.
18.  THE GREAT ALGORIST
JACOBI (1804-51)
Galvanoplastics versus mathematics. Born rich. Jacobi's
philological ability. Dedicates himself to mathematics.
Early work.'Cleaned out. A goose among fosses. Hard
times. Elliptic functions. Their place in the general
development. Inversion. Work in arithmetic^ dynamics,
algebra, and Abelian functions. Fourier's pontification*
Jacobi's retort.
10. AN IRISH TRAGEDY
HAMILTON (1805-65)
Ireland's greatest. Elaborate miseducation* Discoveries at
seventeen* A unique university career,. Disappointed in
love. Hamilton and the poets. Appointed at
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